[PDF] Viscous Incompressible Flow For Low Reynolds Numbers eBook

Author : Mirela Kohr
Publisher : WIT Press (UK)
Page : 456 pages
File Size : 37,15 MB
Release : 2004
Category : Science
ISBN :

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This book presents the fundamental mathematical theory of, and reviews state-of-the-art advances in, low Reynolds number viscous incompressible flow. The authors devote much of the text to the development of boundary integral methods for slow viscous flow pointing out new and important results.

Author : Robert Leigh Underwood
Publisher :
Page : 112 pages
File Size : 10,66 MB
Release : 1968
Category : Boundary layer
ISBN :

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An accurate description of the flow field about a cylinder is found possible with a semi-analytical solution of the full Navier-Stokes equations. The method of series truncation is employed to reduce the governing partial differential equations of motion to a system of ordinary differential equations which can be integrated numerically. This method, which has been applied to the hypersonic blunt-body problem by previous investigators with great success, is essentially a successive-approximation procedure which treats an elliptic partial differential equation as if it were parabolic or hyperbolic. The dependent variable is expanded in one co-ordinate, and backward influence in the resultant system of ordinary differential equations is prevented by series curtailment. Results are given for Reynolds numbers between 0.4 and 10.0 (based on diameter); however, the method can be applied to both higher and lower Reynolds numbers without modification. An accurate prediction of the Reynolds number at which separation first occurs behind the circular cylinder is made; this separation Reynolds number is found to be 5.75. Over the entire Reynolds-number range investigated, characteristic flow parameters such as the drag coefficient, pressure coefficient, standing-eddy length, and streamline pattern compare favorably with available experimental data and numerical-solution results. It is concluded that the semi-analytical method of series truncation permits accurate determination of the flow field about a circular cylinder at moderate Reynolds numbers without resorting either to full-numerical solution or to experiment. (Author).

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 28,79 MB
Release : 2013-06-29
Category : Science
ISBN : 3662104474

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This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.

Author : Michael J. Nusca
Publisher :
Page : 31 pages
File Size : 44,9 MB
Release : 1988
Category :
ISBN :

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Three dimensional, steady-state, laminar, fully viscous Navier-Stokes simulations were used to predict the behavior of incompressible liquids that were undergoing steady spin and steady precession at a fixed precession angle. These numerical simulations can predict steady viscous and pressure moments. These moments tend to increase the precession angle and reduce the spin rate of the container system. For a completely filled cylinder, liquid-induced roll and side (yaw) moments were computed as functions of cylinder height to diameter. Keywords: Finite difference, Incompressible flow, Liquid-filled projectile, Liquid moment, Low reynolds number, Rotating liquids.